The number 16220
16220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 811. Divisors (12): 1, 2, 4, 5, 10, 20, 811, 1622, 3244, 4055, 8110, 16220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16220 is composite. Its prime factorisation is
- 3
The divisors add up to 34104; without 16220 itself that is 17884, so 16220 is abundant (17884 is more than 16220). Euler's totient φ(16220) = 6480 numbers up to 16220 share no factor with it.
- 4
The digits of 16220 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16220 = 2^{2} \times 5 \times 811 \]16220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34104 |
| Euler totient φ(n) | 6480 |
| Square | 263088400 |
| Cube | 4267293848000 |
| Square root | 127.357764 (= 2√4055) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.622 × |
16220 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and twenty |
| Binary (base 2) | 11111101011100 |
| Octal (base 8) | 37534 |
| Hexadecimal (base 16) | 3F5C |
| Base 3 | 211020202 |
| As time | 16220 seconds = 4 h 30 min 20 s |
Is 16220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16220 ÷ 2 = 8110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16220 ÷ 4 = 4055) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16220 ÷ 5 = 3244) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16220 ÷ 10 = 1622) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16220 a prime number?
No. 16220 = × 5 × 811, so it is divisible by 2.
What are the factors of 16220?
1, 2, 4, 5, 10, 20, 811, 1622, 3244, 4055, 8110, 16220.
What is 16220 in binary?
11111101011100 (hexadecimal 3F5C, octal 37534).
What is the square root of 16220?
About 127.3578, exactly 2√4055.
Is 16220 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 16220?
It is a composite number with 12 divisors.